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A372816
Table read by antidiagonals: T(t,n) = number of t-metered parking functions of length n.
4
1, 1, 3, 1, 3, 21, 1, 3, 16, 209, 1, 3, 16, 163, 2640, 1, 3, 16, 125, 2142, 40391, 1, 3, 16, 125, 1686, 33961, 726103, 1, 3, 16, 125, 1296, 27629, 626569, 15003009, 1, 3, 16, 125, 1296, 21858, 525594, 13198604, 350382231
OFFSET
1,3
LINKS
Spencer Daugherty, Pamela E. Harris, Ian Klein, and Matt McClinton, Metered Parking Functions, arXiv:2406.12941 [math.CO], 2024.
EXAMPLE
Table begins:
1, 3, 21, 209, 2640, 40391, 726103, ...
1, 3, 16, 163, 2142, 33961, 626569, ...
1, 3, 16, 125, 1686, 27629, 525594, ...
1, 3, 16, 125, 1296, 21858, 430062, ...
1, 3, 16, 125, 1296, 16807, 341192, ...
1, 3, 16, 125, 1296, 16807, 262144, ...
...
CROSSREFS
First row is A097690 and main diagonal of A372817.
Second, third and fourth rows are main diagonals of A372818, A372819, and A372820.
Sequence in context: A160708 A040173 A320952 * A128777 A286892 A215828
KEYWORD
nonn,tabl,more
AUTHOR
Spencer Daugherty, May 13 2024
STATUS
approved